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arXiv · 1204.4875

Group classification of variable coefficient KdV-like equations

Olena Vaneeva
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Abstract

The exhaustive group classification of the class of KdV-like equations with time-dependent coefficients $u_t+uu_x+g(t)u_{xxx}+h(t)u=0$ is carried out using equivalence based approach. A simple way for the construction of exact solutions of KdV-like equations using equivalence transformations is described.

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Olena Vaneeva. 2013-12-14. Group classification of variable coefficient KdV-like equations. https://doi.org/10.1007/978-4-431-54270-4_32

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